Chelsea, Leicester and Everton won at home while Aston Villa suffers defeat in the hands of new comer.
Chelsea put three goals past Crystal Palace in the first game of the Premier League season.
Alonso scored a stunning free kick in the first half of the game to give the Blues the lead in the first 45 minutes.
Christian Pulisic and Chalobah scored to make it a decent win for the London side in the start of the Premier League.
While Leicester City beat Wolves in the first game as a lone goal from Jamie Vardy gave the Foxes the perfect three points.
Everton came from behind to beat Southampton in their opening game as new boss Rafeal Benitez started with a win.
Aston Villa suffers defeat in the hands of the newly promoted side Watford, while Brighton came from behind to beat Burnley.
Meanwhile Sportscliffs reported earlier the victory of Manchester United as they hit five goals past Leeds United in the early kick off of the game.
